In the equation $\displaystyle - 9 m + 9 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & -71\\ \hline 15 & -124\\ \hline 16 & -132\\ \hline 19& -158\\ \hline \end{tabular}}$

$\displaystyle {-9(9)+9=-71}$

$\displaystyle {-81+9=-71}$

$\displaystyle {-72\neq -71}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 9 m + 9 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -9\\ \hline 9 & -144\\ \hline 10 & -162\\ \hline 14& -234\\ \hline \end{tabular}}$

$\displaystyle {-9(2)+9=-9}$

$\displaystyle {-18+9=-9}$

$\displaystyle {-9=-9}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(9)+9=-144}$

$\displaystyle {-81+9=-144}$

$\displaystyle {-72\neq -144}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 9 m + 9 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 9\\ \hline 5 & -36\\ \hline 10 & -70\\ \hline 15& -126\\ \hline \end{tabular}}$

$\displaystyle {-9(0)+9=9}$

$\displaystyle {0+9=9}$

$\displaystyle {9=9}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(5)+9=-36}$

$\displaystyle {-45+9=-36}$

$\displaystyle {-36=-36}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(10)+9=-70}$

$\displaystyle {-90+9=-70}$

$\displaystyle {-81\neq -70}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 9 m + 9 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -9\\ \hline 5 & -36\\ \hline 10 & -81\\ \hline 19& -162\\ \hline \end{tabular}}$

$\displaystyle {-9(2)+9=-9}$

$\displaystyle {-18+9=-9}$

$\displaystyle {-9=-9}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(5)+9=-36}$

$\displaystyle {-45+9=-36}$

$\displaystyle {-36=-36}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(10)+9=-81}$

$\displaystyle {-90+9=-81}$

$\displaystyle {-81=-81}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-9(19)+9=-162}$

$\displaystyle {-171+9=-162}$

$\displaystyle {-162=-162}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 2 m + 11 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 2\\ \hline 13 & -13\\ \hline 16 & -18\\ \hline 18& -21\\ \hline \end{tabular}}$

$\displaystyle {-2(5)+11=2}$

$\displaystyle {-10+11=2}$

$\displaystyle {1\neq 2}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 2 m + 11 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 7\\ \hline 7 & -6\\ \hline 10 & -18\\ \hline 15& -38\\ \hline \end{tabular}}$

$\displaystyle {-2(2)+11=7}$

$\displaystyle {-4+11=7}$

$\displaystyle {7=7}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-2(7)+11=-6}$

$\displaystyle {-14+11=-6}$

$\displaystyle {-3\neq -6}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 2 m + 11 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 5\\ \hline 5 & 1\\ \hline 12 & -2\\ \hline 15& -19\\ \hline \end{tabular}}$

$\displaystyle {-2(3)+11=5}$

$\displaystyle {-6+11=5}$

$\displaystyle {5=5}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-2(5)+11=1}$

$\displaystyle {-10+11=1}$

$\displaystyle {1=1}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-2(12)+11=-2}$

$\displaystyle {-24+11=-2}$

$\displaystyle {-13\neq -2}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 2 m + 11 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 7\\ \hline 9 & -7\\ \hline 15 & -19\\ \hline 17& -23\\ \hline \end{tabular}}$

$\displaystyle {-2(2)+11=7}$

$\displaystyle {-4+11=7}$

$\displaystyle {7=7}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-2(9)+11=-7}$

$\displaystyle {-18+11=-7}$

$\displaystyle {-7=-7}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-2(15)+11=-19}$

$\displaystyle {-30+11=-19}$

$\displaystyle {-19=-19}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-2(17)+11=-23}$

$\displaystyle {-34+11=-23}$

$\displaystyle {-23=-23}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 2 m + 12 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 13\\ \hline 15 & 44\\ \hline 17 & 49\\ \hline 18& 52\\ \hline \end{tabular}}$

$\displaystyle {2(0)+12=13}$

$\displaystyle {0+12=13}$

$\displaystyle {12\neq 13}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {2 m + 12 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & 28\\ \hline 14 & 80\\ \hline 16 & 88\\ \hline 19& 100\\ \hline \end{tabular}}$

$\displaystyle {2(8)+12=28}$

$\displaystyle {16+12=28}$

$\displaystyle {28=28}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(14)+12=80}$

$\displaystyle {28+12=80}$

$\displaystyle {40\neq 80}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {2 m + 12 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 18\\ \hline 11 & 34\\ \hline 15 & 53\\ \hline 18& 48\\ \hline \end{tabular}}$

$\displaystyle {2(3)+12=18}$

$\displaystyle {6+12=18}$

$\displaystyle {18=18}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(11)+12=34}$

$\displaystyle {22+12=34}$

$\displaystyle {34=34}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(15)+12=53}$

$\displaystyle {30+12=53}$

$\displaystyle {42\neq 53}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {2 m + 12 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 18\\ \hline 4 & 20\\ \hline 9 & 30\\ \hline 14& 40\\ \hline \end{tabular}}$

$\displaystyle {2(3)+12=18}$

$\displaystyle {6+12=18}$

$\displaystyle {18=18}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(4)+12=20}$

$\displaystyle {8+12=20}$

$\displaystyle {20=20}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(9)+12=30}$

$\displaystyle {18+12=30}$

$\displaystyle {30=30}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(14)+12=40}$

$\displaystyle {28+12=40}$

$\displaystyle {40=40}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 5 m + 19 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 20\\ \hline 1 & 16\\ \hline 6 & -8\\ \hline 13& -42\\ \hline \end{tabular}}$

$\displaystyle {-5(0)+19=20}$

$\displaystyle {0+19=20}$

$\displaystyle {19\neq 20}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 5 m + 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -6\\ \hline 8 & -42\\ \hline 9 & -52\\ \hline 17& -132\\ \hline \end{tabular}}$

$\displaystyle {-5(5)+19=-6}$

$\displaystyle {-25+19=-6}$

$\displaystyle {-6=-6}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-5(8)+19=-42}$

$\displaystyle {-40+19=-42}$

$\displaystyle {-21\neq -42}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 5 m + 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 19\\ \hline 5 & -6\\ \hline 12 & -30\\ \hline 16& -61\\ \hline \end{tabular}}$

$\displaystyle {-5(0)+19=19}$

$\displaystyle {0+19=19}$

$\displaystyle {19=19}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-5(5)+19=-6}$

$\displaystyle {-25+19=-6}$

$\displaystyle {-6=-6}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-5(12)+19=-30}$

$\displaystyle {-60+19=-30}$

$\displaystyle {-41\neq -30}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 5 m + 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 11 & -36\\ \hline 13 & -46\\ \hline 14 & -51\\ \hline 15& -56\\ \hline \end{tabular}}$

$\displaystyle {-5(11)+19=-36}$

$\displaystyle {-55+19=-36}$

$\displaystyle {-36=-36}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-5(13)+19=-46}$

$\displaystyle {-65+19=-46}$

$\displaystyle {-46=-46}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-5(14)+19=-51}$

$\displaystyle {-70+19=-51}$

$\displaystyle {-51=-51}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-5(15)+19=-56}$

$\displaystyle {-75+19=-56}$

$\displaystyle {-56=-56}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 12 m + 6 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 7\\ \hline 1 & -4\\ \hline 7 & -75\\ \hline 15& -170\\ \hline \end{tabular}}$

$\displaystyle {-12(0)+6=7}$

$\displaystyle {0+6=7}$

$\displaystyle {6\neq 7}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m + 6 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & -66\\ \hline 8 & -180\\ \hline 14 & -324\\ \hline 19& -444\\ \hline \end{tabular}}$

$\displaystyle {-12(6)+6=-66}$

$\displaystyle {-72+6=-66}$

$\displaystyle {-66=-66}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(8)+6=-180}$

$\displaystyle {-96+6=-180}$

$\displaystyle {-90\neq -180}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m + 6 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & -30\\ \hline 6 & -66\\ \hline 7 & -67\\ \hline 9& -102\\ \hline \end{tabular}}$

$\displaystyle {-12(3)+6=-30}$

$\displaystyle {-36+6=-30}$

$\displaystyle {-30=-30}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(6)+6=-66}$

$\displaystyle {-72+6=-66}$

$\displaystyle {-66=-66}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(7)+6=-67}$

$\displaystyle {-84+6=-67}$

$\displaystyle {-78\neq -67}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m + 6 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -18\\ \hline 7 & -78\\ \hline 14 & -162\\ \hline 18& -210\\ \hline \end{tabular}}$

$\displaystyle {-12(2)+6=-18}$

$\displaystyle {-24+6=-18}$

$\displaystyle {-18=-18}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(7)+6=-78}$

$\displaystyle {-84+6=-78}$

$\displaystyle {-78=-78}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(14)+6=-162}$

$\displaystyle {-168+6=-162}$

$\displaystyle {-162=-162}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(18)+6=-210}$

$\displaystyle {-216+6=-210}$

$\displaystyle {-210=-210}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle m - 1 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 3\\ \hline 10 & 11\\ \hline 11 & 13\\ \hline 17& 20\\ \hline \end{tabular}}$

$\displaystyle {1(3)+-1=3}$

$\displaystyle {3+-1=3}$

$\displaystyle {2\neq 3}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 7 & 6\\ \hline 13 & 24\\ \hline 15 & 28\\ \hline 19& 36\\ \hline \end{tabular}}$

$\displaystyle {1(7)-1=6}$

$\displaystyle {7-1=6}$

$\displaystyle {6=6}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(13)-1=24}$

$\displaystyle {13-1=24}$

$\displaystyle {12\neq 24}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -1\\ \hline 6 & 5\\ \hline 8 & 18\\ \hline 14& 23\\ \hline \end{tabular}}$

$\displaystyle {1(0)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(6)-1=5}$

$\displaystyle {6-1=5}$

$\displaystyle {5=5}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(8)-1=18}$

$\displaystyle {8-1=18}$

$\displaystyle {7\neq 18}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 0\\ \hline 3 & 2\\ \hline 6 & 5\\ \hline 12& 11\\ \hline \end{tabular}}$

$\displaystyle {1(1)-1=0}$

$\displaystyle {1-1=0}$

$\displaystyle {0=0}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(3)-1=2}$

$\displaystyle {3-1=2}$

$\displaystyle {2=2}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(6)-1=5}$

$\displaystyle {6-1=5}$

$\displaystyle {5=5}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(12)-1=11}$

$\displaystyle {12+-1=11}$

$\displaystyle {11=11}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 15 m + 8 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 39\\ \hline 13 & 205\\ \hline 14 & 221\\ \hline 16& 252\\ \hline \end{tabular}}$

$\displaystyle {15(2)+8=39}$

$\displaystyle {30+8=39}$

$\displaystyle {38\neq 39}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {15 m + 8 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 38\\ \hline 3 & 106\\ \hline 7 & 226\\ \hline 8& 256\\ \hline \end{tabular}}$

$\displaystyle {15(2)+8=38}$

$\displaystyle {30+8=38}$

$\displaystyle {38=38}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(3)+8=106}$

$\displaystyle {45+8=106}$

$\displaystyle {53\neq 106}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {15 m + 8 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 23\\ \hline 3 & 53\\ \hline 6 & 109\\ \hline 19& 293\\ \hline \end{tabular}}$

$\displaystyle {15(1)+8=23}$

$\displaystyle {15+8=23}$

$\displaystyle {23=23}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(3)+8=53}$

$\displaystyle {45+8=53}$

$\displaystyle {53=53}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(6)+8=109}$

$\displaystyle {90+8=109}$

$\displaystyle {98\neq 109}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {15 m + 8 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 53\\ \hline 5 & 83\\ \hline 8 & 128\\ \hline 9& 143\\ \hline \end{tabular}}$

$\displaystyle {15(3)+8=53}$

$\displaystyle {45+8=53}$

$\displaystyle {53=53}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(5)+8=83}$

$\displaystyle {75+8=83}$

$\displaystyle {83=83}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(8)+8=128}$

$\displaystyle {120+8=128}$

$\displaystyle {128=128}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(9)+8=143}$

$\displaystyle {135+8=143}$

$\displaystyle {143=143}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 12 m + 13 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 2\\ \hline 13 & -141\\ \hline 14 & -152\\ \hline 19& -211\\ \hline \end{tabular}}$

$\displaystyle {-12(1)+13=2}$

$\displaystyle {-12+13=2}$

$\displaystyle {1\neq 2}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m + 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & -23\\ \hline 5 & -94\\ \hline 10 & -214\\ \hline 16& -358\\ \hline \end{tabular}}$

$\displaystyle {-12(3)+13=-23}$

$\displaystyle {-36+13=-23}$

$\displaystyle {-23=-23}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(5)+13=-94}$

$\displaystyle {-60+13=-94}$

$\displaystyle {-47\neq -94}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m + 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 1\\ \hline 3 & -23\\ \hline 15 & -156\\ \hline 17& -191\\ \hline \end{tabular}}$

$\displaystyle {-12(1)+13=1}$

$\displaystyle {-12+13=1}$

$\displaystyle {1=1}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(3)+13=-23}$

$\displaystyle {-36+13=-23}$

$\displaystyle {-23=-23}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(15)+13=-156}$

$\displaystyle {-180+13=-156}$

$\displaystyle {-167\neq -156}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m + 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 1\\ \hline 6 & -59\\ \hline 18 & -203\\ \hline 19& -215\\ \hline \end{tabular}}$

$\displaystyle {-12(1)+13=1}$

$\displaystyle {-12+13=1}$

$\displaystyle {1=1}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(6)+13=-59}$

$\displaystyle {-72+13=-59}$

$\displaystyle {-59=-59}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(18)+13=-203}$

$\displaystyle {-216+13=-203}$

$\displaystyle {-203=-203}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(19)+13=-215}$

$\displaystyle {-228+13=-215}$

$\displaystyle {-215=-215}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 12 m - 1 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & -108\\ \hline 12 & -143\\ \hline 13 & -154\\ \hline 15& -177\\ \hline \end{tabular}}$

$\displaystyle {-12(9)+-1=-108}$

$\displaystyle {-108+-1=-108}$

$\displaystyle {-109\neq -108}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -25\\ \hline 9 & -218\\ \hline 12 & -290\\ \hline 14& -338\\ \hline \end{tabular}}$

$\displaystyle {-12(2)-1=-25}$

$\displaystyle {-24-1=-25}$

$\displaystyle {-25=-25}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(9)-1=-218}$

$\displaystyle {-108-1=-218}$

$\displaystyle {-109\neq -218}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -49\\ \hline 10 & -121\\ \hline 14 & -158\\ \hline 18& -207\\ \hline \end{tabular}}$

$\displaystyle {-12(4)-1=-49}$

$\displaystyle {-48-1=-49}$

$\displaystyle {-49=-49}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(10)-1=-121}$

$\displaystyle {-120-1=-121}$

$\displaystyle {-121=-121}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(14)-1=-158}$

$\displaystyle {-168-1=-158}$

$\displaystyle {-169\neq -158}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 12 m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -13\\ \hline 3 & -37\\ \hline 13 & -157\\ \hline 15& -181\\ \hline \end{tabular}}$

$\displaystyle {-12(1)-1=-13}$

$\displaystyle {-12-1=-13}$

$\displaystyle {-13=-13}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(3)-1=-37}$

$\displaystyle {-36-1=-37}$

$\displaystyle {-37=-37}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(13)-1=-157}$

$\displaystyle {-156-1=-157}$

$\displaystyle {-157=-157}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-12(15)-1=-181}$

$\displaystyle {-180+-1=-181}$

$\displaystyle {-181=-181}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 19 m = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 96\\ \hline 10 & 192\\ \hline 14 & 269\\ \hline 18& 346\\ \hline \end{tabular}}$

$\displaystyle {19(5)+0=96}$

$\displaystyle {95+0=96}$

$\displaystyle {95\neq 96}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {19 m = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 76\\ \hline 7 & 266\\ \hline 14 & 532\\ \hline 19& 722\\ \hline \end{tabular}}$

$\displaystyle {19(4)+0=76}$

$\displaystyle {76+0=76}$

$\displaystyle {76=76}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {19(7)+0=266}$

$\displaystyle {133+0=266}$

$\displaystyle {133\neq 266}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {19 m = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 76\\ \hline 10 & 190\\ \hline 11 & 220\\ \hline 14& 266\\ \hline \end{tabular}}$

$\displaystyle {19(4)+0=76}$

$\displaystyle {76+0=76}$

$\displaystyle {76=76}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {19(10)+0=190}$

$\displaystyle {190+0=190}$

$\displaystyle {190=190}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {19(11)+0=220}$

$\displaystyle {209+0=220}$

$\displaystyle {209\neq 220}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {19 m = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 114\\ \hline 8 & 152\\ \hline 11 & 209\\ \hline 16& 304\\ \hline \end{tabular}}$

$\displaystyle {19(6)+0=114}$

$\displaystyle {114+0=114}$

$\displaystyle {114=114}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {19(8)+0=152}$

$\displaystyle {152+0=152}$

$\displaystyle {152=152}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {19(11)+0=209}$

$\displaystyle {209+0=209}$

$\displaystyle {209=209}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {19(16)+0=304}$

$\displaystyle {304+0=304}$

$\displaystyle {304=304}$

All of these values were correct for our equation; thus, this table is our correct answer.